A gas station attendant would like to estimate p, the proportion of all households that own more than two vehicles. To obtain an estimate, the attendant decides to ask the next 200 gasoline customers how many vehicles their households own. To obtain an estimate of p, the attendant counts the number of customers who say there are more than two vehicles in their households and then divides this number by 200. How would you critique this estimation procedure? Is there anything wrong with this procedure that would result in sampling and/or nonsampling errors? If so, can you suggest a procedure that would reduce this error?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A gas station attendant would like to
estimate p, the proportion of all households
that own more than two vehicles. To obtain
an estimate, the attendant decides to ask
the next 200 gasoline customers how many
vehicles their households own. To obtain an
estimate of p, the attendant counts the
number of customers who say there are
more than two vehicles in their households
and then divides this number by 200. How
would you critique this estimation
procedure? Is there anything wrong with
this procedure that would result in sampling
and/or nonsampling errors? If so, can you
suggest a procedure that would reduce this
error?
Transcribed Image Text:A gas station attendant would like to estimate p, the proportion of all households that own more than two vehicles. To obtain an estimate, the attendant decides to ask the next 200 gasoline customers how many vehicles their households own. To obtain an estimate of p, the attendant counts the number of customers who say there are more than two vehicles in their households and then divides this number by 200. How would you critique this estimation procedure? Is there anything wrong with this procedure that would result in sampling and/or nonsampling errors? If so, can you suggest a procedure that would reduce this error?
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